High-frequency blockade and related phenomena

We study systems with local vibrating potentials, one-dimensional single and double wells and the tight-binding 1D model with single vibrating site. In general, these systems transmit, or reflect particles inelastically, with absorption or emission of several frequency quanta. Nevertheless, we have found that at some conditions these systems can perfectly and elastically reflect electrons. This high-frequency "blockade" give rise to unique possibility of near-ideal localization of electron with the energy lying on the background of continuous energy spectrum. We discuss different consequences of this statement.